Mathematics: Can this polynomial be simplified to a difference of squares 16a2 – 4a + 4a – 1

Can this polynomial be simplified to a difference

ana2896

17.01.2022

This polynomial can be simplified to a difference of squares

16a^2 - 4a + 4a - 1=(4a-1)(4a+1)

Step-by-step explanation:

Simplify the expression

$16a^2 - 4a + 4a - 1\\\\16a^2- 1$

remember that 4 ^ 2 = 16

Therefore

16a^2- 1= 4^2a^2 -1

Remember that

(4a) ^ 2 = 4 ^ 2a ^ 2

4^2a^2 -1=(4a)^2 -1

As 1 ^ 2 = 1 then

(4a)^2 -1= (4a)^2 -1^2

Remember that c ^ 2 -b ^ 2 = (c + b) (c-b)

In this case c = 4a and b = 1

Finally

(4a)^2 -1^2 = (4a-1)(4a+1)

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tednequamoore6761

27.02.2022

50 km/h

Explanation:

200 km = 4 hours

200/4=50

50km/h

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